Finding the Third Proportional to 47,665 and 101,660

Step by Step Solution

1. Step 1: Write the proportion equation
   47,665 : 101,660 = 101,660 : x
2. Step 2: Convert to fraction form
   47,665/101,660 = 101,660/x
3. Step 3: Cross multiply
   47,665x = 101,660 × 101,660
4. Step 4: Simplify right side
   47,665x = 10,334,755,600
5. Step 5: Solve for x
   x = 10,334,755,600/47,665
6. Step 6: Final answer
   x = 216,820.64